Recent content by Zarem

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    Other Should I Become a Mathematician?

    You seem quite confident about declaring what everyone else is or isn't capable of, which is interesting coming from someone who was not successful themselves.
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    To be or not to be a mathematician or a physicist?

    Listen to this guy, folks, he really knows what he's talking about.
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    Which Textbook is Considered the Worst by PF Users?

    What's wrong with Hatcher? I'm about to finish the first section of Munkres Topology in order to move on to alg. topology (and was planning on using Hatcher), so which book would you recommend?
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    Which Lesser-Known Universities Should I Consider for a Math Major Transfer?

    Not lesser known but if I were you I would consider Cal Tech. I go to a california CC and my professor told us that 1 or 2 students transferred there, although you have to take an entrance exam which includes physics i believe. Seeing as your record is impeccable, maybe you can give that a shot.
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    What do you guys think of the Leonard Susskind lectures

    Honestly after watching the lectures I don't feel as if I've really learned anything. Maybe I'm just dumb though
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    Engineering Petroleum Engineer, Mechanical Engineer, or Aerospace Engineer?

    Aerospace. Because rockets.
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    Has anyone here been to Harvard?

    Yep, my friend had a 2400 SAT, never got a B in his high school life, took college math classes while in high school, and spent every summer in science camp/science research programs, and got rejected from MIT. He's about to graduate from Caltech though, funny how they choose people.
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    Proving f(x)=k on [a,b] using Rolle's theorem and other calculus theorems

    Anyone else know if the first way I did it (or a similar way) is correct, I only ask because I think that's how my professor wants it done.
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    Proving f(x)=k on [a,b] using Rolle's theorem and other calculus theorems

    If f(c)=/= f(d) then by the MVT there exists a f'(x) in [a,b] that does not equal zero. Thanks, but do you think the way I did it is also correct?
  10. Z

    Proving f(x)=k on [a,b] using Rolle's theorem and other calculus theorems

    Homework Statement Hey, I'm revising my calculus 1 test, I'm just not sure if this is a valid way to prove this. If f is continuous on [a,b] and if f'(x)=0 for every x in (a,b), prove that f(x)=k for some real number kHomework Equations Rolle's theorem: if f(a)=f(b), then there is some...